Dice notation
4d8
Roll 4d8 and see where it lands on the real distribution. Range 4 to 32, averaging 18.00.
The shape of 4d8
Your last roll is marked in white. The tall bars are where this notation actually lives.
- Lowest
- 4
- Highest
- 32
- Average
- 18.00
- Most likely
- 18
- Chance of 18
- 8.4%
- Possible totals
- 29
Peak at 18 (8.4%). Average 18.00. Range 4–32.
There is exactly one way to roll 4 and one way to roll 32, so each sits at 0.024%, or 1 in 4,096. There are 344 ways to make 18, which is why the middle of the range dominates. Rolling 4 dice instead of one trades range for reliability.
Every total, with odds
Exact figures, enumerated rather than simulated.
| Total | Chance | Odds | This or higher |
|---|---|---|---|
| 4 | 0.024% | 1 in 4,096 | 100.0% |
| 5 | 0.098% | 1 in 1,024 | 100.0% |
| 6 | 0.244% | 1 in 410 | 99.9% |
| 7 | 0.488% | 1 in 205 | 99.6% |
| 8 | 0.854% | 1 in 117 | 99.1% |
| 9 | 1.37% | 1 in 73 | 98.3% |
| 10 | 2.05% | 1 in 49 | 96.9% |
| 11 | 2.93% | 1 in 34 | 94.9% |
| 12 | 3.93% | 1 in 25 | 91.9% |
| 13 | 4.98% | 1 in 20 | 88.0% |
| 14 | 6.01% | 1 in 17 | 83.0% |
| 15 | 6.93% | 1 in 14 | 77.0% |
| 16 | 7.69% | 1 in 13 | 70.1% |
| 17 | 8.20% | 1 in 12 | 62.4% |
| 18 | 8.40% | 1 in 12 | 54.2% |
| 19 | 8.20% | 1 in 12 | 45.8% |
| 20 | 7.69% | 1 in 13 | 37.6% |
| 21 | 6.93% | 1 in 14 | 29.9% |
| 22 | 6.01% | 1 in 17 | 23.0% |
| 23 | 4.98% | 1 in 20 | 17.0% |
| 24 | 3.93% | 1 in 25 | 12.0% |
| 25 | 2.93% | 1 in 34 | 8.06% |
| 26 | 2.05% | 1 in 49 | 5.13% |
| 27 | 1.37% | 1 in 73 | 3.08% |
| 28 | 0.854% | 1 in 117 | 1.71% |
| 29 | 0.488% | 1 in 205 | 0.854% |
| 30 | 0.244% | 1 in 410 | 0.366% |
| 31 | 0.098% | 1 in 1,024 | 0.122% |
| 32 | 0.024% | 1 in 4,096 | 0.024% |
Common questions about 4d8
What is the average of 4d8?
18.00. The range runs 4 to 32, but the average sits in the middle because there are far more ways to land near the centre than at either end.
What are the odds of rolling 32 on 4d8?
0.024%, or 1 in 4,096. The minimum of 4 is equally rare at 0.024%. Both extremes need every die to cooperate.
What is the most likely result of 4d8?
18, at 8.4%. There are 344 different combinations that add up to 18, against 1 for 32. That gap is what makes the curve.
Is 4d8 the same as picking a number between 4 and 32?
No, and this is the most useful thing to understand about dice. Picking at random from 4 to 32 gives every one of those 29 results an equal 3.45% chance. 4d8 covers the same span with a hump in the middle: 18 lands 344 times more often than 32 does. Same range, completely different behaviour.